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Finding the Fourth Proportional to 11,827.46, 16,322.73 and 6,792.50

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Solution

The fourth proportional to 11,827.46, 16,322.73 and 6,792.50 is: 9,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.46 : 16,322.73 = 6,792.50 : x
  2. Step 2: Convert to fraction form
    11,827.46/16,322.73 = 6,792.50/x
  3. Step 3: Cross multiply
    11,827.46x = 16,322.73 × 6,792.50
  4. Step 4: Simplify right side
    11,827.46x = 110,872,143.53
  5. Step 5: Solve for x
    x = 110,872,143.53/11,827.46
  6. Step 6: Final answer
    x = 9,374.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.